Elliptic curve isogeny class data - 630.a

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• ec_classdata •

  Column	Type
  anlist	smallint[]
  aplist	smallint[]
  class_deg	smallint
  class_size	smallint
  conductor	integer
  isogeny_matrix	smallint[]
  lmfdb_iso	text
  trace_hash	bigint

  
  {'anlist': [0, 1, -1, 0, 1, -1, 0, -1, -1, 0, 1, 4, 0, -2, 1, 0, 1, -2, 0, 4, -1], 'aplist': [-1, 0, -1, -1, 4, -2, -2, 4, 8, 2, 0, 6, 6, -4, 0, 10, -12, 14, -12, 8, 10, 16, 12, -10, 2], 'class_deg': 16, 'class_size': 8, 'conductor': 630, 'isogeny_matrix': [[1, 2, 4, 16, 4, 8, 16, 8], [2, 1, 2, 8, 2, 4, 8, 4], [4, 2, 1, 16, 4, 8, 16, 8], [16, 8, 16, 1, 4, 2, 4, 8], [4, 2, 4, 4, 1, 2, 4, 2], [8, 4, 8, 2, 2, 1, 2, 4], [16, 8, 16, 4, 4, 2, 1, 8], [8, 4, 8, 8, 2, 4, 8, 1]], 'lmfdb_iso': '630.a', 'trace_hash': 1581650695631417775}
• lmfdb_iso 630.a does not appear in ec_padic
• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  abc_quality	double precision
  absD	numeric
  adelic_genus	integer
  adelic_index	integer
  adelic_level	bigint
  ainvs	numeric[]
  analytic_rank	smallint
  bad_primes	integer[]
  class_deg	smallint
  class_size	smallint
  cm	smallint
  conductor	integer
  degree	bigint
  elladic_images	text[]
  faltings_height	numeric
  faltings_index	smallint
  faltings_ratio	smallint
  iso_nlabel	smallint
  isogeny_degrees	smallint[]
  jinv	numeric[]
  lmfdb_iso	text
  lmfdb_label	text
  lmfdb_number	smallint
  manin_constant	smallint
  min_quad_twist_ainvs	numeric[]
  min_quad_twist_disc	smallint
  modell_images	text[]
  modm_images	text[]
  nonmax_primes	smallint[]
  nonmax_rad	integer
  num_bad_primes	smallint
  num_int_pts	integer
  optimality	smallint
  potential_good_reduction	boolean
  rank	smallint
  regulator	numeric
  semistable	boolean
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 2921
    {'Ciso': '630c', 'Clabel': '630c7', 'Cnumber': 7, 'abc_quality': 1.074666741320478, 'absD': 262549350, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 3360, 'ainvs': [1, -1, 0, -17287200, 27669604050], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 630, 'degree': 16384, 'elladic_images': ['16.96.0.223'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3437355612296178926506608659', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 16, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [783736670177727068275201, 360150], 'lmfdb_iso': '630.a', 'lmfdb_label': '630.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1920800, -1024800150], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.48.0-8.bb.2.8', '12.12.0-4.c.1.1', '16.96.0-16.v.2.12', '24.96.0-24.bl.2.6', '48.192.1-48.dq.1.9', '160.192.2.?', '224.192.1.?', '480.384.5.?', '560.192.2.?', '672.384.5.?', '1120.384.5.?', '1680.384.5.?', '3360.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 9], [3, 8, 70], [5, 6, 126], [7, 8, 90]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7944294168955630469530382474', 'prec': 100}, 'szpiro_ratio': 9.558286040241075, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2919
    {'Ciso': '630c', 'Clabel': '630c5', 'Cnumber': 5, 'abc_quality': 1.05504045380176, 'absD': 94557148402500, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 1680, 'ainvs': [1, -1, 0, -1080450, 432540000], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 630, 'degree': 8192, 'elladic_images': ['8.96.0.123'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9971619709496452379420448051', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [191342053882402567201, 129708022500], 'lmfdb_iso': '630.a', 'lmfdb_label': '630.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -120050, -16020000], 'min_quad_twist_disc': -3, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.96.0-8.l.1.3', '12.24.0-4.b.1.1', '24.192.1-24.ch.1.4', '80.192.2.?', '112.192.1.?', '240.384.5.?', '336.384.5.?', '560.384.5.?', '1680.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 9], [3, 8, 70], [5, 6, 126], [7, 8, 90]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4478558266155903922444221866', 'prec': 100}, 'szpiro_ratio': 8.26785364297402, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 2922
    {'Ciso': '630c', 'Clabel': '630c8', 'Cnumber': 8, 'abc_quality': 1.0554678196515268, 'absD': 3634020957785869350, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 3360, 'ainvs': [1, -1, 0, -1073700, 438205950], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 630, 'degree': 16384, 'elladic_images': ['16.96.0.283'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3437355612296178926506608659', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 16, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [-187778242790732059201, 4984939585440150], 'lmfdb_iso': '630.a', 'lmfdb_label': '630.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -119300, -16229850], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.48.0-8.bb.2.7', '12.12.0-4.c.1.1', '16.96.0-16.v.2.11', '24.96.0-24.bp.2.8', '48.192.1-48.eg.1.9', '80.192.2.?', '224.192.1.?', '240.384.5.?', '672.384.5.?', '1120.384.5.?', '3360.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 9], [3, 8, 70], [5, 6, 126], [7, 8, 90]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7944294168955630469530382474', 'prec': 100}, 'szpiro_ratio': 8.27189525357145, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2917
    {'Ciso': '630c', 'Clabel': '630c3', 'Cnumber': 3, 'abc_quality': 1.0358020223701003, 'absD': 87866966905200, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 3360, 'ainvs': [1, -1, 0, -135630, -19186524], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 630, 'degree': 4096, 'elladic_images': ['32.96.0.39'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6505883806696725832334287444', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [378499465220294881, 120530818800], 'lmfdb_iso': '630.a', 'lmfdb_label': '630.a4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -15070, 710612], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.1', '12.12.0-4.c.1.2', '16.48.0.v.1', '24.48.0-8.bb.1.2', '28.12.0.h.1', '32.96.0-16.v.1.3', '48.96.0-16.v.1.1', '56.48.0.bl.2', '80.96.2.?', '84.24.0.?', '96.192.1.?', '112.96.1.?', '160.192.2.?', '168.96.0.?', '224.192.1.?', '240.192.2.?', '336.192.1.?', '480.384.5.?', '560.192.5.?', '672.384.5.?', '1120.384.5.?', '1680.384.5.?', '3360.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 63], [3, 8, 70], [5, 6, 126], [7, 8, 90]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1012822363356177375358061259', 'prec': 100}, 'szpiro_ratio': 7.302002895836409, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2918
    {'Ciso': '630c', 'Clabel': '630c4', 'Cnumber': 4, 'abc_quality': 1.0288195344460926, 'absD': 886104056250000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 1680, 'ainvs': [1, -1, 0, -67950, 6682500], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 630, 'degree': 4096, 'elladic_images': ['8.96.0.90'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6505883806696725832334287444', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [47595748626367201, 1215506250000], 'lmfdb_iso': '630.a', 'lmfdb_label': '630.a5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -7550, -247500], 'min_quad_twist_disc': -3, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0.b.1', '8.96.0-8.c.1.7', '12.48.0-4.b.1.1', '24.192.1-24.w.2.4', '56.192.1-56.x.1.12', '80.192.2.?', '168.384.5.?', '240.384.5.?', '560.384.5.?', '1680.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 9], [3, 8, 70], [5, 6, 126], [7, 8, 90]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1012822363356177375358061259', 'prec': 100}, 'szpiro_ratio': 6.980321023926336, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 2916
    {'Ciso': '630c', 'Clabel': '630c2', 'Cnumber': 2, 'abc_quality': 1.0190986885579905, 'absD': 37498476960000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 1680, 'ainvs': [1, -1, 0, -9630, -210924], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 630, 'degree': 2048, 'elladic_images': ['16.96.0.48'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3040147903896999285248126837', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [135487869158881, 51438240000], 'lmfdb_iso': '630.a', 'lmfdb_label': '630.a6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1070, 7812], 'min_quad_twist_disc': -3, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0.l.2', '12.24.0-4.b.1.3', '16.96.0-8.l.2.5', '24.96.0-8.l.2.3', '28.24.0.c.1', '48.192.1-48.f.2.4', '56.96.1.cd.2', '80.192.2.?', '84.48.0.?', '112.192.1.?', '168.192.1.?', '240.384.5.?', '336.384.5.?', '560.384.5.?', '1680.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 9], [3, 8, 70], [5, 6, 126], [7, 8, 90]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.75470864605564508282719006524', 'prec': 103}, 'szpiro_ratio': 6.070939794816682, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 2915
    {'Ciso': '630c', 'Clabel': '630c1', 'Cnumber': 1, 'abc_quality': 0.999810038071446, 'absD': 677221171200, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 3360, 'ainvs': [1, -1, 0, 1890, -24300], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 630, 'degree': 1024, 'elladic_images': ['32.96.0.39'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.95744120010972727381619662295', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [1023887723039, 928972800], 'lmfdb_iso': '630.a', 'lmfdb_label': '630.a7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 210, 900], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.1', '12.12.0-4.c.1.2', '14.6.0.b.1', '16.48.0.v.1', '24.48.0-8.bb.1.2', '28.12.0.g.1', '32.96.0-16.v.1.3', '48.96.0-16.v.1.1', '56.48.0.bh.2', '80.96.0.?', '84.24.0.?', '96.192.1.?', '112.96.1.?', '160.192.2.?', '168.96.0.?', '224.192.1.?', '240.192.2.?', '336.192.1.?', '480.384.5.?', '560.192.1.?', '672.384.5.?', '1120.384.5.?', '1680.384.5.?', '3360.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 63], [3, 8, 70], [5, 6, 126], [7, 8, 90]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.40813505577567242811857400449', 'prec': 103}, 'szpiro_ratio': 5.313029837269243, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2920
    {'Ciso': '630c', 'Clabel': '630c6', 'Cnumber': 6, 'abc_quality': 1.1083142308531486, 'absD': 196221313476562500, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 3360, 'ainvs': [1, -1, 0, 11430, 21304296], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 630, 'degree': 8192, 'elladic_images': ['16.96.0.202'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9971619709496452379420448051', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [226523624554079, 269165039062500], 'lmfdb_iso': '630.a', 'lmfdb_label': '630.a8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 1270, -789048], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.d.1', '8.48.0-8.q.1.1', '12.24.0-4.d.1.1', '16.96.0-16.j.1.8', '24.96.0-24.be.1.10', '28.24.0-4.d.1.2', '48.192.1-48.bf.2.4', '56.96.0-56.bd.1.11', '84.48.0.?', '112.192.1.?', '160.192.2.?', '168.192.1.?', '336.384.5.?', '480.384.5.?', '1120.384.5.?', '3360.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 9], [3, 8, 70], [5, 6, 126], [7, 8, 90]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4478558266155903922444221866', 'prec': 100}, 'szpiro_ratio': 7.333898105722259, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}